Theory of Linear Ill-Posed Problems and its Applications
Seiten
| Ausstattung: Hardcover & eBook
2013
|
Reprint 2013
De Gruyter
978-3-11-182614-1 (ISBN)
De Gruyter
978-3-11-182614-1 (ISBN)
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The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the bookconsiders ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been madein the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the bookconsiders ill-posed problems not only in Hilbert but also in Banach spaces. It is natural that since the appearance of the first edition considerable progress has been madein the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Valentin K. Ivanov †; Vladimir V. Vasin, Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia; Vitalii P. Tanana, South Ural State University, Chelyabinsk, Russia.
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 36 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Gewicht | 750 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Banach spaces • error estimation • Funktionalanalysis • Hilbert spaces • Inkorrekt gestelltes Problem • Inverses Problem • Linear Ill-posed Problems • Linear Ill-posed Problems; Sets of Uniform Regularization; Error Estimation; Optimality Method; Hilbert Spaces; Banach spaces • Operatortheorie • Optimality Method • Sets of Uniform Regularization |
| ISBN-10 | 3-11-182614-7 / 3111826147 |
| ISBN-13 | 978-3-11-182614-1 / 9783111826141 |
| Zustand | Neuware |
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